Norair Arakelian's Publications (Full profile)

Paper

  1. Arakelyan, N. U., Effective harmonic continuation of {L}aplace series, Izv. Nats. Akad. Nauk Armenii Mat., 47, (3), pp. 5--34, (2012)
  2. S. Aleksanian, N. Arakelian, Optimal uniform approximation on an angle by entire functions, Izvestiya NAN Armenii, Natematika, 44, (3), pp. 5-24, (2009)
    Published translation
    Journal of Contemporary Math. Analysis
    44
    (3)
    , pp. 147-162
    (2009)
  3. N. Arakelian, On Dirichlet and Neumann problems for harmonic functions., Izvestiya NAN Armenii, Matematika, 43, (6), pp. 21-38, (2008)
    Published translation
    Contemporary Math. Analysis
    43
    (6)
    (2008)
  4. N. Arakelian, W. Luh, and J. Mueller, On the localization of singularities of Lacunar power series, Complex Variables and Elliptic Functions, 52, (7), pp. 561-573, (2007)
  5. Arakelian, Norair; Vardanyan, Anush, Uniform approximation on the real axes by functions harmonic in a stripe and having optimal growth, Analysis (Munich), 27, (2-3), pp. 285--299, (2007)
  6. Arakelian, Norair; Luh, Wolfgang; M{\"u}ller, J{\"u}rgen, On the localization of singularities of lacunar power series, Complex Var. Elliptic Equ., 52, (7), pp. 561--573, (2007)
  7. N. Arakelian, H. Shahgholian, Uniform and tangential approximation on a stripe by entire functions, having optimal growth , Computational methods and Function theory , 3, (1), pp. 359-381, (2003)
  8. N. Arakelian, Efficient analytic continuation of power series and localization of their singularities, Izvestiya NAN Armenii, Matematika, 38, (4), pp. 5-24, (2003)
    Published translation
    Journal of Contemporary Math. Analysis
    38
    (4)
    (2003)
  9. N. Arakelian, W. Luh, Efficient analytic continuation of power series by matrix summation methods, Computational Methods and Function Theory, 2, (1), pp. 137-153, (2002)
  10. Norair Arakelian, A. Hakopian, Entire functions with infinite sets of deficient functions, Israel Math. Conference Proceedings, 15, pp. 11-19, (2001)
  11. Arakelyan, N. U.; Shmider, G., Analytic continuation of power series on some planar Riemann surfaces, Izv. Nats. Akad. Nauk Armenii Mat., 36, (4), pp. 7-27, (2001)
    Published translation
    Journal of Contemporary Math. Anal.
    36
    (4)
    (2001)
  12. Norair Arakelian, H. Shahgholian, Propagation of smallness for harmonic and analytic functions in arbitrary domains, Bull. of London Math. Society, 31, pp. 671-678, (1999)
  13. Norair Arakelian, N. Matevosyan, Three-spheres theorem for harmonic functions, Izvestiya NAN Armenii, ser. Math., 35, (3), (1999)
    Published translation
    Journal of Contemporary Math. Analysis
    35
    (3)
    (1999)
  14. Norair Arakelian, Efficient analytic continuation of power series with vector-valued coefficients, Izvestiya NAN Armenii, ser. Math., 30, (4), (1995)
    Published translation
    Journal of Contemporary Math. Analysis
    30
    (4)
    , pp. 25-48
    (1995)
  15. Norair Arakelian, A. Yavrian, Vector-valued versions of Fabry's Ratio theorem, Izvestiya NAN Armenii, ser. Math., 30, (4), (1995)
    Published translation
    Journal of Contemporary Math. Analysis
    30
    (4)
    , pp. 76-80
    (1995)
  16. Norair Arakelian, P. M. Gauthier, Propagation of smallness and uniqueness for harmonic and holomorphic functions, Izvestiya NAN Armenii, ser. Math., 30, (4), (1995)
    Published translation
    Journal of Contemporary Math. Analysis
    30
    (4)
    , pp. 2-24
    (1995)
  17. Norair Arakelian, Approximation by entire functions and analytic continuation. Progress in Approximation theory (Tampa, FL, 1990), Computational Math. Series, Springer, New York, 17, pp. 295-313, (1992)
  18. Norair Arakelian, R. Avetisyan, Best approximations by meromorphic functions on the Real axes, Izvestiya AN Arm. SSR, ser. Math., 25, (6), pp. 534-549, (1990)
    Published translation
    Soviet Journal of Contemporary Math. Analysis, ser. Math.
    25
    (6)
    , pp. 29-45
    (1990)
  19. Norair Arakelian, R. Avetisyan and A. Gonchar, On asymptotic properties of mreomorphic functions, Izvestiya AN Arm. SSR, ser. Math., 24, (3), pp. 207-225, (1989)
    Published translation
    Soviet Journal of Contemporary Math. Analysis
    24
    (3)
    (1989)
  20. Norair Arakelian, V. Martirosyan, The localization of singularities of power series on the boundary of the circle of convergence II, Izvestiya AN Arm. SSR, ser. Math. , 23, (3), pp. 17-35, (1988)
    Published translation
    Soviet Journal of Contemporary Math. Analysis
    23
    (3)
    (1988)
  21. Norair Arakelian, R. Avetisyan, Best approximations by meromorphic functions in angular domains, Izvestiya AN arm. SSR, ser. Math., 23, (6), pp. 546-556, (1988)
    Published translation
    Soviet Journal of Contemporary Math. Analysis
    23
    (6)
    , pp. 35-44
    (1989)
  22. Norair Arakelian, V. Martirosyan, The localization of singularities of power series on the boundary of the circle of convergence, Izvestiya AN Arm. SSR, ser. Math. , 22, (3), pp. 3-21, (1987)
    Published translation
    Soviet Journal of Contemporary Math. Analysis
    22
    (1)
    (1987)
  23. Norair Arakelian, P. M. Gauthier, On holomorphic asymptotic approximation with prescribed speed, Complex Analysis and applications 81, Sofia, pp. 36-38, (1984)
  24. Norair Arakelian, On efficient analytic continuation of power series, Matem. Sbornik, (166), (5), , 124, (1), pp. 24-44, (1984)
    Published translation
    Math. USSR Sbornik
    52
    (1)
    , pp. 21-39
    (1985)
  25. Norair Arakelian, P. M. Gauthier, On tangential approximation by holomorphic functions, Izvestiya AN Arm. SSR, 17, (6), pp. 421-441, (1982)
  26. Norair Arakelian, R. Avetisyan, On best uniform approximation by meromorphic functions on the Real axes, Dokladi AN SSSR, 257, (6), pp. 1289-1292, (1981)
    Published translation
    Soviet Math. Dokladi
    23
    (2)
    , pp. 433-436
    (1981)
  27. Norair Arakelian, On uniform and asymptotic approximation on the Real axes by entire functions of restricted growth, Mat. Sbornik, (155), (9), 3-40, 113, (1), (1980)
    Published translation
    Math. USSR Sbornik
    41
    (1)
    , pp. 1-32
    (1982)
  28. Norair Arakelian, A. G. Vitushkin, V. S. Bladimirov, A. A. Gonchar, Mkhitar Mkrtichevich Dzrbashyan, Advances in Mathematical Sciences, tome 34, ser. 2, (206), pp. 235-240, (1979)
  29. Norair Arakelian, V. Martirosyan, Uniform approximations on the Complex plane by polynomials with gaps, Soviet Math. Dokladi, 235, (2), pp. 249-252, (1977)
  30. Arakeljan, N. U., Certain questions of approximation theory and the theory of entire functions, Mat. Zametki, 9, pp. 467--475, (1971)
  31. Norair Arakelian, Approximation Complexe et propriete's des fonctions analytiques, Proceedings of the Intern. Congress of Mathematicians, Nice 1970, Gauthier-Villars, Paris, 1971, tome 2, pp. 595-600, (1970)
  32. Norair Arakelian, Entire and analytic functions of limited growth with an infinite set of deficient values, Izvestiya AN ARM. SSR, ser. Math. , 5, (6), pp. 486-506, (1970)
  33. Norair Arakelian, On Nevanlinna's problem, Matematicheskie Zametki, 3, (3), pp. 357-360, (1968)
  34. Norair Arakelian, Uniform and tangential approximations by analytic functions, Izvestiya Akad. Nauk Arm. SSR, ser. Math. , 3, (4-5), pp. 273-285, (1968)
    Published translation
    American Mathematical Society Translations (2)
    122
    , pp. 85-97
    (1984)
  35. Norair Arakelian, The construction of entire functions of finite order, decreasing uniformly on a sector, Izvestiya Akad. Nauk Arm. SSR, ser. Math. , 1, (3), pp. 162-191, (1966)
  36. Norair Arakelian, Entire functions of finite order with an infinite set of deficient values, Soviet Math. Dokladi, 170, (5), pp. 999-1002, (1966)
  37. Arakeljan, N. U., Construction of entire functions of finite order decreasing uniformly in an angle, Izv. Akad. Nauk Armjan. SSR Ser. Mat., 1, (3), pp. 162--191, (1966)
  38. Norair Arakelian, On uniform and asymptotic approximation by entire functions on unbounded closed sets, Soviet Math. Dokladi, 157, (1), pp. 9-11, (1964)
  39. Norair Arakelian, On uniform approximation by entire functions on closed sets, Izvestiya Akad. Nauk SSSR, ser. Math., 28, pp. 1187-1206, (1964)
  40. Norair Arakelian, Uniform approximation by entire functions with estimation of their growth, Sibirski Math. Journal, 4, (5), pp. 977-999, (1963)
  41. Norair Arakelian, On uniform approximation by entire functions on unbounded continuums and estimation of the speed of their growth, Dokladi Akad. Nauk ArmSSR, 34, (4), pp. 145-149, (1962)
  42. Norair Arakelian, On asymptotic approximation by entire functions on unbounded domains, Math. USSR Sbornik, (95), 53, (4), pp. 515-538, (1961)
  43. Norair Arakelian, The precision of some theorems of M.V. Keldish on asymptotic approximation by entire functions, Dokladi AN SSSR, 125, (4), pp. 695-698, (1959)

Book

  1. Norair Arakelian, V. Martirosyan, Power series: Analytic continuation and location of singularities, Russian, University Press, Yerevan, pp. 100, (1991)

Thesis

  1. N. Arakelian, Some questions of the approximation theory and the theory of entire functions (Review of the Doctor's thesis), Matematicheskie Zametki, 9, (4), pp. 467-475, (1971)
  2. Norair Arakelian, Some questions of the approximation theory and the theory of entire functions, Doctorial dissertation (manuscript), Yerevan, pp. 100, (1970)
  3. Norair Arakelian, Asymptotic and uniform approximations by entire functions in the complex plane, Candidate dissertation (manuscript), Yerevan, pp. 69, (1962)
  4. Norair Arakelian, Asymptotic and uniform approximations by entire functions in the complex plane, (Auto-reference of Candidate dissertation). Yerevan, University Press, (1962)